22001110100000 has 144 divisors (see below), whose sum is σ = 54237228110856. Its totient is φ = 8784622080000.

The previous prime is 22001110099973. The next prime is 22001110100077. The reversal of 22001110100000 is 101110022.

It can be written as a sum of positive squares in 12 ways, for example, as 11906281500304 + 10094828599696 = 3450548^2 + 3177236^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55502504 + ... + 55897496.

Almost surely, 2^{22001110100000} is an apocalyptic number.

22001110100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118614055428).

22001110100000 is an abundant number, since it is smaller than the sum of its proper divisors (32236118010856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22001110100000 is an frugal number, since it uses more digits than its factorization.

22001110100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395585 (or 395557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 22001110100000 its reverse (101110022), we get a palindrome (22001211210022).

The spelling of 22001110100000 in words is "twenty-two trillion, one billion, one hundred ten million, one hundred thousand".